Finite Group Databasebeta

← C2×#11748242 #14425006

Subgroups — C2×#11748242 #14425006

Order 1920.

1688 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92019C211yesmaximal, characteristic, complemented
2C2×C3×#4054C211yesmaximal, characteristic, complemented
3C2×#91458C211yesmaximal, characteristic, complemented
4C2×#91298C211yesmaximal, characteristic, complemented
5C2×#91107C211yesmaximal, characteristic, complemented
6C2×C5×#825C211yesmaximal, characteristic, complemented
7C2×#90977C211yesmaximal, characteristic, complemented
8#11748242C218yesmaximal, direct product factor
9C2×#65111—31nomaximal, Hall
10C22×D60C2211yescharacteristic
11C2×C5×#235C2211yescharacteristic
12C2×C3×#709C2211yescharacteristic
13C22×C3×D20C2211yescharacteristic, complemented
14C2×#6790—22no—
15C22×#1202—22no—
16#92019—22no—
17#92019—22no—
18#92019—22no—
19#92019C2214yescomplemented
20C2×D3×D20—21no—
21C2×D5×D12—21no—
22C2×#6773—21no—
23C2×#6769—21no—
24C2×C3×C5×M16C2211yescharacteristic, complemented
25C2×#6710C2211yescharacteristic, complemented
26C2×C4×C5×Dic3C2211yescharacteristic, complemented
27C3×#4054—22no—
28C3×#4054C2214yescomplemented
29C2×C3×D40—21no—
30C2×C3×#677—21no—
31#91458—22no—
32#91458C2214yescomplemented
33C2×#6655—21no—
34#91298—22no—
35#91298C2214yescomplemented
36C2×#6652—21no—
37#91107C2214yescomplemented
38C5×#825C2214yescomplemented
39#90977C2214yescomplemented
40C2×#5198—51nomaximal, Hall
41C2×#4149—31no—
42C2×#4095—31no—
43C2×#4054D311yescharacteristic, complemented
44C2×#4020—31no—
45C2×C5×#104—31no—
46C2×#3955—31no—
47C2×#3937—31no—
48#65111—38no—
49C23×D15D412yes—
50C23×C3×D5—21no—
51C22×D3×D5—22no—
52C22×C3×C4×C5C2311yescharacteristic
53C2×D60—21no—
54C2×D60—21no—
55C2×D60—21no—
56C2×D60—21no—
57C2×D60D412yes—
58C2×D60C2312yes—
59C2×C5×#67—21no—
60C22×C5×Dic3—21no—
61C5×#235—21no—
62C5×#235—21no—
63C5×#235D412yescomplemented
64C5×#235C2312yes—
65C2×C5×D12D411yescharacteristic, complemented
66C2×C4×C5×D3—21no—
67C2×C5×Dic6D411yescharacteristic, complemented
68C2×C3×C22⋊D5—21no—
69C3×#709—21no—
70C3×#709—21no—
71C3×#709D412yescomplemented
72C3×#709C2312yes—
73C2×C3×D20—21no—
74C2×C3×D20—21no—
75C2×C3×D20—21no—
76C2×C3×D20—21no—
77C2×C3×D20—21no—
78C2×C3×D20D411yescharacteristic, complemented
79C2×C3×D20C2312yescomplemented
80C2×C3×C4×D5—21no—
81C2×C3×Dic10D411yescharacteristic, complemented
82#6790—28no—
83#6790—28no—
84C2×#1203—22no—
85C2×#1202—22no—
86C2×#1202—28no—
87C2×#1202—48no—
88C2×#1200—22no—
89D3×D20—24no—
90D3×D20—24no—
91D5×D12—24no—
92D5×D12—24no—
93#6773—24no—
94#6773—24no—
95#6769—24no—
96#6769—24no—
97C3×C5×M16—21no—
98C3×C5×M16C2312yescomplemented
99C2×C3×C5×C8—21no—
100#6710—21no—
101#6710C2312yescomplemented
102C2×C3⋊#168—21no—
103C4×C5×Dic3—21no—
104C4×C5×Dic3C2312yescomplemented
105C3×D40—24no—
106C3×#677—24no—
107#6655—24no—
108#6652—24no—
109C2×#1009—51no—
110C2×C3×AGL(1,ℤ/8)—51no—
111C2×#940—51no—
112C2×#932—51no—
113C2×#837—51no—
114#5198—58no—
115C2×#825D511yescharacteristic, complemented
116C2×#823—51no—
117C2×C5×#41—31no—
118#4149—34no—
119#4149—62no—
120#4149—62no—
121#4149—62no—
122C2×#713—61no—
123C2×D4×D5—61no—
124C2×D4×D5—62no—
125C2×#709—61no—
126C2×#709C2×D311yescharacteristic
127C22×D20—31no—
128C22×D20—61no—
129C22×D20—62no—
130C22×D20C2×D311yescharacteristic, complemented
131C2×C5×M16C2×D311yescharacteristic, complemented
132C2×C42×C5—31no—
133#4095—34no—
134#4095—62no—
135C2×#688—61no—
136C2×#686—61no—
137C2×#681—31no—
138#4054—22no—
139#4054C2×D314yescomplemented
140C2×D40—21no—
141C2×#677—21no—
142#4020—34no—
143#4020—62no—
144C5×#104—34no—
145#3955—34no—
146#3937—34no—
147C2×#453—151noSylow
148C23×C3×C5C2×D411yescharacteristic
149C22×D15—22no—
150C22×D15—22no—
151C22×D15—44no—
152C22×D15C2×D414yes—
153C22×C5×D3—21no—
154C22×C3×D5—21no—
155C22×C3×D5—22no—
156C22×C3×D5—44no—
157C22×C3×D5—41no—
158C22×C3×D5—41no—
159C2×D3×D5—28no—
160C2×D3×D5—84no—
161C2×C3×C4×C5C2×D411yescharacteristic
162C2×C3×C4×C5C2×D411yescharacteristic
163C2×C3×C4×C5C2×D411yescharacteristic
164C2×C3×C4×C5C2×D411yescharacteristic
165C2×C3×C4×C5C2×D411yescharacteristic
166C2×C3×C4×C5C2411yescharacteristic
167D60—22no—
168D60—22no—
169D60—22no—
170D60—22no—
171C5×#67—22no—
172C5×#67—22no—
173C2×C5×Dic3—24no—
174C2×C5×Dic3—21no—
175C2×C5×Dic3—22no—
176C5×D12—21no—
177C5×D12C2×D412yescomplemented
178C4×C5×D3—22no—
179C4×C5×D3—22no—
180C5×Dic6—21no—
181C5×Dic6C2×D412yescomplemented
182C3×C22⋊D5—22no—
183C3×C22⋊D5—22no—
184C2×C3×Dic5—21no—
185C3×D20—21no—
186C3×D20—22no—
187C3×D20—22no—
188C3×D20—41no—
189C3×D20—41no—
190C3×D20C2×D412yescomplemented
191C3×C4×D5—22no—
192C3×C4×D5—22no—
193C3×Dic10—21no—
194C3×Dic10C2×D412yescomplemented
195#1203—28no—
196#1202—28no—
197#1202—416no—
198#1200—28no—
199C3×C5×C8—22no—
200C3⋊#168—22no—
201C2×C3×#41—51no—
202C22×C3×D4—51no—
203C22×#67—102no—
204#1009—54no—
205#1009—102no—
206#1009—102no—
207#1009—102no—
208C2×#239—101no—
209C2×D3×D4—101no—
210C2×D3×D4—102no—
211C2×#235—101no—
212C2×#235C2×D511yescharacteristic
213C22×D12—51no—
214C22×D12—101no—
215C3×AGL(1,ℤ/8)—54no—
216C3×AGL(1,ℤ/8)—102no—
217C2×C3×SD16—101no—
218C2×C3×D8—101no—
219C2×C3×M16C2×D511yescharacteristic, complemented
220#940—54no—
221#940—102no—
222C2×#214—101no—
223#932—54no—
224#932—102no—
225C2×#213—101no—
226C2×C4×Dic3C2×D511yescharacteristic, complemented
227C2×#208—51no—
228#837—54no—
229#825C2×D514yescomplemented
230#823—54no—
231C23×D5—21no—
232C23×D5—32no—
233C23×D5—62no—
234C5×#41—32no—
235C5×#41—32no—
236C5×#41—61no—
237C5×#41—61no—
238C2×C5×Q8—31no—
239C2×C5×D4—31no—
240C2×C5×D4—61no—
241C22×C4×C5—61no—
242C22×C4×C5—61no—
243C22×C4×C5C22×D311yescharacteristic
244C2×C22⋊D5—21no—
245C2×C22⋊D5—62no—
246#713—64no—
247#713—64no—
248D4×D5—64no—
249D4×D5—64no—
250D4×D5—68no—
251D4×D5—68no—
252#709—21no—
253#709—21no—
254#709—64no—
255#709—64no—
256#709#6712yescomplemented
257#709C22×D312yes—
258C2×D20—21no—
259C2×D20—21no—
260C2×D20—21no—
261C2×D20—21no—
262C2×D20—21no—
263C2×D20—32no—
264C2×D20—32no—
265C2×D20—64no—
266C2×D20—62no—
267C2×D20—61no—
268C2×D20—61no—
269C2×D20—61no—
270C2×D20—61no—
271C2×D20—64no—
272C2×D20—68no—
273C2×D20—128no—
274C2×D20#6711yescharacteristic, complemented
275C2×D20C22×D312yescomplemented
276C2×C4×D5—21no—
277C2×C4×D5—62no—
278C2×Dic10#6711yescharacteristic, complemented
279C5×M16—21no—
280C5×M16C22×D312yescomplemented
281C2×C5×C8—21no—
282C42×C5—32no—
283C42×C5—61no—
284#688—64no—
285#686—64no—
286#681—32no—
287#681—61no—
288C2×#168—61no—
289D40—24no—
290#677—24no—
291C2×H(5,𝔽2)—151no—
292C2×AGL(1,ℤ/8)—51no—
293C2×AGL(1,ℤ/8)—151no—
294C2×#127—151no—
295#453—158no—
296C2×#104—31no—
297C2×#104—151no—
298C2×#100—151no—
299C22×C3×C5—22no—
300C22×C3×C5#12011yescharacteristic
301C22×C3×C5#12011yescharacteristic
302C22×C3×C5C22×D411yescharacteristic
303C2×D15—24no—
304C2×D15—44no—
305C2×D15—44no—
306C2×D15—82no—
307C2×C5×D3—22no—
308C2×C5×D3—42no—
309C2×C3×D5—22no—
310C2×C3×D5—42no—
311C2×C3×D5—44no—
312C2×C3×D5—42no—
313C2×C3×D5—82no—
314C2×C3×D5—82no—
315D3×D5—88no—
316C3×C4×C5#12011yescharacteristic
317C3×C4×C5#12011yescharacteristic
318C3×C4×C5C22×D411yescharacteristic
319C3×C4×C5C22×D411yescharacteristic
320C3×Dic5—22no—
321C5×Dic3—24no—
322C5×Dic3—22no—
323C24×C3—101no—
324C23×D3—52no—
325C23×D3—102no—
326C3×#41—52no—
327C3×#41—52no—
328C3×#41—101no—
329C3×#41—101no—
330C2×C3×Q8—51no—
331C2×C3×D4—51no—
332C2×C3×D4—52no—
333C2×C3×D4—101no—
334C2×C3×D4—101no—
335C2×C3×D4—101no—
336C2×C3×D4—101no—
337C2×C3×D4—101no—
338C2×C3×D4—101no—
339C22×C3×C4—101no—
340C22×C3×C4C22×D511yescharacteristic
341C2×#67—21no—
342C2×#67—102no—
343C2×#67—108no—
344C2×#67—208no—
345C22×Dic3—21no—
346#239—104no—
347#239—104no—
348D3×D4—104no—
349D3×D4—104no—
350D3×D4—108no—
351D3×D4—108no—
352#235—21no—
353#235—21no—
354#235—104no—
355#235—104no—
356#235D2012yescomplemented
357#235C22×D512yes—
358C2×D12—52no—
359C2×D12—52no—
360C2×D12—104no—
361C2×D12—102no—
362C2×D12—101no—
363C2×D12—101no—
364C2×D12—101no—
365C2×D12—101no—
366C2×D12—104no—
367C2×D12D2011yescharacteristic, complemented
368C2×C4×D3—21no—
369C2×C4×D3—102no—
370C2×Dic6D2011yescharacteristic, complemented
371C3×SD16—104no—
372C3×D8—104no—
373C3×M16—21no—
374C3×M16C22×D512yescomplemented
375C2×C3×C8—21no—
376#214—104no—
377#213—104no—
378C4×Dic3—21no—
379C4×Dic3C22×D512yescomplemented
380#208—52no—
381#208—101no—
382C2×C3⋊C8—101no—
383C23×C5—61no—
384C23×C5D3×D411yescharacteristic
385C22×D5—21no—
386C22×D5—22no—
387C22×D5—34no—
388C22×D5—44no—
389C22×D5—41no—
390C22×D5—41no—
391C22×D5—68no—
392C22×D5—62no—
393C22×D5—62no—
394C22×D5—124no—
395C22×D5—244no—
396C5×Q8—32no—
397C5×Q8—61no—
398C5×D4—32no—
399C5×D4—62no—
400C5×D4—62no—
401C5×D4—61no—
402C2×C4×C5—64no—
403C2×C4×C5—61no—
404C2×C4×C5—62no—
405C2×C4×C5—62no—
406C2×C4×C5—62no—
407C2×C4×C5D3×D411yescharacteristic
408C2×C4×C5D3×D411yescharacteristic
409C2×C4×C5D3×D411yescharacteristic
410C2×C4×C5C2×#6711yescharacteristic
411C2×C4×C5C2×#6711yescharacteristic
412C2×C4×C5C23×D311yescharacteristic
413C22⋊D5—22no—
414C22⋊D5—22no—
415C22⋊D5—68no—
416C2×Dic5—21no—
417D20—21no—
418D20—22no—
419D20—22no—
420D20—41no—
421D20—41no—
422D20—68no—
423D20—62no—
424D20—62no—
425D20—62no—
426D20—62no—
427D20—1216no—
428D20C2×#6712yescomplemented
429C4×D5—22no—
430C4×D5—22no—
431C4×D5—68no—
432Dic10—21no—
433Dic10C2×#6712yescomplemented
434C5×C8—22no—
435#168—62no—
436H(5,𝔽2)—154no—
437H(5,𝔽2)—302no—
438H(5,𝔽2)—302no—
439H(5,𝔽2)—302no—
440C2×#41—31no—
441C2×#41—51no—
442C2×#41—301no—
443C2×#41—301no—
444C22×D4—51no—
445C22×D4—151no—
446C22×D4—301no—
447C22×D4—302no—
448C22×D4—301no—
449C22×D4—302no—
450AGL(1,ℤ/8)—54no—
451AGL(1,ℤ/8)—102no—
452AGL(1,ℤ/8)—154no—
453AGL(1,ℤ/8)—302no—
454C2×SD16—101no—
455C2×SD16—301no—
456C2×D8—101no—
457C2×D8—301no—
458C2×M16—151no—
459C2×M16D3×D511yescharacteristic, complemented
460#127—154no—
461#127—302no—
462C2×C42—31no—
463#104—34no—
464#104—154no—
465#100—154no—
466C2×C3×C5—21no—
467C2×C3×C5—21no—
468C2×C3×C5#45312yescomplemented
469C2×C3×C5C2×#12011yescharacteristic
470D15—44no—
471C3×D5—42no—
472C3×D5—82no—
473C5×D3—42no—
474C23×C3—101no—
475C23×C3—102no—
476C23×C3—204no—
477C23×C3—201no—
478C23×C3—201no—
479C23×C3D4×D511yescharacteristic
480C22×D3—21no—
481C22×D3—54no—
482C22×D3—108no—
483C22×D3—102no—
484C22×D3—102no—
485C22×D3—204no—
486C22×D3—404no—
487C3×Q8—52no—
488C3×Q8—101no—
489C3×D4—52no—
490C3×D4—102no—
491C3×D4—102no—
492C3×D4—102no—
493C3×D4—102no—
494C3×D4—101no—
495C3×D4—201no—
496C3×D4—201no—
497C2×C3×C4—101no—
498C2×C3×C4—102no—
499C2×C3×C4—102no—
500C2×C3×C4C2×D2011yescharacteristic
501C2×C3×C4C2×D2011yescharacteristic
502C2×C3×C4D4×D511yescharacteristic
503C2×C3×C4D4×D511yescharacteristic
504C2×C3×C4D4×D511yescharacteristic
505C2×C3×C4C23×D511yescharacteristic
506#67—22no—
507#67—22no—
508#67—108no—
509#67—2016no—
510C2×Dic3—24no—
511C2×Dic3—22no—
512C2×Dic3—21no—
513D12—21no—
514D12—108no—
515D12—102no—
516D12—102no—
517D12—102no—
518D12—102no—
519D12C2×D2012yescomplemented
520C4×D3—22no—
521C4×D3—22no—
522C4×D3—108no—
523Dic6—21no—
524Dic6C2×D2012yescomplemented
525C3×C8—22no—
526C3⋊C8—102no—
527C22×C5—22no—
528C22×C5—62no—
529C22×C5—122no—
530C22×C5#93711yescharacteristic
531C22×C5#93711yescharacteristic
532C22×C5C2×D3×D411yescharacteristic
533C2×D5—22no—
534C2×D5—42no—
535C2×D5—44no—
536C2×D5—42no—
537C2×D5—64no—
538C2×D5—82no—
539C2×D5—82no—
540C2×D5—124no—
541C2×D5—124no—
542C2×D5—248no—
543C2×D5—242no—
544C4×C5—64no—
545C4×C5—62no—
546C4×C5#93711yescharacteristic
547C4×C5#93711yescharacteristic
548C4×C5C2×D3×D411yescharacteristic
549C4×C5C22×#6711yescharacteristic
550Dic5—22no—
551C24—101no—
552C24—152no—
553C24—302no—
554#41—32no—
555#41—32no—
556#41—52no—
557#41—52no—
558#41—61no—
559#41—61no—
560#41—101no—
561#41—101no—
562#41—304no—
563#41—304no—
564#41—304no—
565#41—304no—
566C2×Q8—31no—
567C2×Q8—51no—
568C2×D4—31no—
569C2×D4—51no—
570C2×D4—52no—
571C2×D4—61no—
572C2×D4—101no—
573C2×D4—101no—
574C2×D4—101no—
575C2×D4—101no—
576C2×D4—101no—
577C2×D4—101no—
578C2×D4—152no—
579C2×D4—152no—
580C2×D4—304no—
581C2×D4—304no—
582C2×D4—302no—
583C2×D4—308no—
584C2×D4—304no—
585C2×D4—304no—
586C2×D4—302no—
587C2×D4—308no—
588C2×D4—308no—
589C2×D4—301no—
590C2×D4—301no—
591C2×D4—301no—
592C2×D4—301no—
593C2×D4—608no—
594C22×C4—61no—
595C22×C4—61no—
596C22×C4—101no—
597C22×C4—302no—
598C22×C4C2×D3×D511yescharacteristic
599SD16—104no—
600SD16—304no—
601D8—104no—
602D8—304no—
603M16—21no—
604M16—152no—
605M16—301no—
606M16C2×D3×D512yescomplemented
607C2×C8—21no—
608C2×C8—301no—
609C42—32no—
610C42—61no—
611C3×C5C2×#45311yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—102no—
614C22×C3—204no—
615C22×C3—202no—
616C22×C3—202no—
617C22×C3—402no—
618C22×C3—402no—
619C22×C3#402811yescharacteristic
620C22×C3#402811yescharacteristic
621C22×C3C2×D4×D511yescharacteristic
622C2×D3—22no—
623C2×D3—42no—
624C2×D3—104no—
625C2×D3—204no—
626C2×D3—204no—
627C2×D3—408no—
628C2×D3—402no—
629C3×C4—102no—
630C3×C4#402811yescharacteristic
631C3×C4#402811yescharacteristic
632C3×C4C22×D2011yescharacteristic
633C3×C4C2×D4×D511yescharacteristic
634Dic3—24no—
635Dic3—22no—
636C2×C5—21no—
637C2×C5—21no—
638C2×C5—122no—
639C2×C5#519812yescomplemented
640C2×C5C2×#93711yescharacteristic
641D5—42no—
642D5—82no—
643D5—124no—
644C23—61no—
645C23—101no—
646C23—102no—
647C23—154no—
648C23—204no—
649C23—201no—
650C23—201no—
651C23—308no—
652C23—302no—
653C23—302no—
654C23—604no—
655C23—1204no—
656C23#677711yescharacteristic
657Q8—32no—
658Q8—52no—
659Q8—61no—
660Q8—101no—
661D4—32no—
662D4—52no—
663D4—62no—
664D4—62no—
665D4—61no—
666D4—102no—
667D4—102no—
668D4—101no—
669D4—102no—
670D4—102no—
671D4—201no—
672D4—201no—
673D4—308no—
674D4—308no—
675D4—302no—
676D4—302no—
677D4—302no—
678D4—302no—
679D4—6016no—
680C2×C4—64no—
681C2×C4—61no—
682C2×C4—62no—
683C2×C4—62no—
684C2×C4—62no—
685C2×C4—101no—
686C2×C4—102no—
687C2×C4—102no—
688C2×C4—308no—
689C2×C4D3×D2011yescharacteristic
690C2×C4D3×D2011yescharacteristic
691C2×C4#677711yescharacteristic
692C2×C4D5×#6711yescharacteristic
693C2×C4D5×#6711yescharacteristic
694C2×C4C22×D3×D511yescharacteristic
695C8—22no—
696C8—302no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—202no—
700C2×C3—402no—
701C2×C3#6511112yescomplemented
702C2×C3C2×#402811yescharacteristic
703D3—42no—
704D3—204no—
705C5C2×#519811yescharacteristic, complemented, Sylow
706C22—22no—
707C22—62no—
708C22—102no—
709C22—122no—
710C22—204no—
711C22—202no—
712C22—202no—
713C22—304no—
714C22—402no—
715C22—402no—
716C22—604no—
717C22—604no—
718C22—1202no—
719C22—1208no—
720C22#9147411yescharacteristic
721C22#9147411yescharacteristic
722C22C2×#677711yescharacteristic
723C4—64no—
724C4—62no—
725C4—102no—
726C4#9147411yescharacteristic
727C4#9147411yescharacteristic
728C4C2×D3×D2011yescharacteristic
729C4C2×D5×#6711yescharacteristic
730C3C2×#6511111yescharacteristic, complemented, Sylow
731C2—21no—
732C2—21no—
733C2—122no—
734C2—202no—
735C2—402no—
736C2—604no—
737C2#1174824212yesdirect product factor
738C2C2×#9147411yescharacteristic
subgroupG/H
centerC22#91474
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×M16C22
socleC22×C3×C5#120
hypercenterC2×M16D3×D5
hypocenterC3×C5C2×#453
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×M16

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#92019C2semidirect
2. C2×C3×#4054C2semidirect
3. C2×#91458C2semidirect
4. C2×#91298C2semidirect
5. C2×#91107C2semidirect
6. C2×C5×#825C2semidirect
7. C2×#90977C2semidirect
8. #11748242C2direct (N × H)
13. C22×C3×D20C22semidirect
19. #92019C22semidirect
24. C2×C3×C5×M16C22semidirect
25. C2×#6710C22semidirect
26. C2×C4×C5×Dic3C22semidirect
28. C3×#4054C22semidirect
32. #91458C22semidirect
35. #91298C22semidirect
37. #91107C22semidirect
38. C5×#825C22semidirect
39. #90977C22semidirect
43. C2×#4054D3semidirect
63. C5×#235D4semidirect
65. C2×C5×D12D4semidirect
67. C2×C5×Dic6D4semidirect
71. C3×#709D4semidirect
78. C2×C3×D20D4semidirect
79. C2×C3×D20C23semidirect
81. C2×C3×Dic10D4semidirect
98. C3×C5×M16C23semidirect
101. #6710C23semidirect
104. C4×C5×Dic3C23semidirect
115. C2×#825D5semidirect
130. C22×D20C2×D3semidirect
131. C2×C5×M16C2×D3semidirect
139. #4054C2×D3semidirect
177. C5×D12C2×D4semidirect
181. C5×Dic6C2×D4semidirect
190. C3×D20C2×D4semidirect
194. C3×Dic10C2×D4semidirect
219. C2×C3×M16C2×D5semidirect
226. C2×C4×Dic3C2×D5semidirect
229. #825C2×D5semidirect
256. #709#67semidirect
274. C2×D20#67semidirect
275. C2×D20C22×D3semidirect
278. C2×Dic10#67semidirect
280. C5×M16C22×D3semidirect
356. #235D20semidirect
367. C2×D12D20semidirect
370. C2×Dic6D20semidirect
374. C3×M16C22×D5semidirect
379. C4×Dic3C22×D5semidirect
428. D20C2×#67semidirect
433. Dic10C2×#67semidirect
459. C2×M16D3×D5semidirect
468. C2×C3×C5#453semidirect
519. D12C2×D20semidirect
524. Dic6C2×D20semidirect
606. M16C2×D3×D5semidirect
611. C3×C5C2×#453semidirect
639. C2×C5#5198semidirect
701. C2×C3#65111semidirect
705. C5C2×#5198semidirect
730. C3C2×#65111semidirect
737. C2#11748242direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#920192
C2×C3×#40542
C2×#914582
C2×#912982
C2×#911072
C2×C5×#8252
C2×#909772
#117482422
C2×#651113
C2×#51985